We prove that the action of the orthogonal group of an integral, unimodular lattice whose rank and signature satisfy a certain indefiniteness condition acts transitively on pairs of mutually orthogonal elements with the same isometric invariants.
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Univ Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, ItalyUniv Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
Ferrari, Leonardo
Kolpakov, Alexander
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Univ Neuchatel, Inst Math, Rue Emile Argand 11, CH-2000 Neuchatel, Switzerland
Moscow Inst Phys & Technol, Lab Combinatorial & Geometr Struct, Dolgoprudnyi, RussiaUniv Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
Kolpakov, Alexander
Slavich, Leone
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Univ Pavia, Dipartimento Matemat F Casorati, Via Adolfo Ferrata 5, I-27100 Pavia, ItalyUniv Pisa, Dipartimento Matemat, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
机构:
Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Potsdam, GermanyAlbert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Potsdam, Germany
Jasiulek, Michael
Korzynski, Mikolaj
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Univ Vienna, Fac Phys, A-1090 Vienna, AustriaAlbert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Potsdam, Germany